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The Queuing System (The servicing system (Queue discipline (First come,…
The Queuing System
The source population and the way customers arrive at the system
Finite Population
The limited-size customer pool that will use the service and, at times, form a line
Infinite Population
The crowd is large enough that adding or subtracting does not significantly change its probability
Distribution of Arrivals
Arrival rate :
The expected number of customers that arrive each period.
Constant arrival distribution
Periodic, with exactly the same time between successive arrivals
Variable arrival distributions
Definition :
The probability of arrival is described statistically
Exponential Distribution
Poisson distribution
The servicing system
Line length
Infinite potential length
LImited capacity
Number of lines
Single
Multiple
Queue discipline
First come, first serve
Shortest processing time
Reservations first
Emergencies first
Limited needs
Other
Service Time Distribution
Constant : Service provided by automatic machine
Variable : Services are provided by humans
Line structure
Single
Single phase
Multiphase
Multichannel
Single phase
Multiphase
Mixed
Multi-to-single channel
Single phase
Multiphase
Alternative paths
Exiting the Queuing system
Low probality of reservice
Return to source population
